Search a number
-
+
2110111300000 = 2555111918283
BaseRepresentation
bin11110101101001100011…
…011110011100110100000
321110201120021200110020101
4132231030123303212200
5234033001443100000
64253212144152144
7305310345053224
oct36551433634640
97421507613211
102110111300000
11743990900270
122a0b54008654
13123ca0b30262
14741b6766784
1539d4ec5ce6a
hex1eb4c6f39a0

2110111300000 has 144 divisors (see below), whose sum is σ = 5664569881824. Its totient is φ = 767312800000.

The previous prime is 2110111299997. The next prime is 2110111300019. The reversal of 2110111300000 is 31110112.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a self number, because there is not a number n which added to its sum of digits gives 2110111300000.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 140859 + ... + 2059141.

It is an arithmetic number, because the mean of its divisors is an integer number (39337290846).

Almost surely, 22110111300000 is an apocalyptic number.

2110111300000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2110111300000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2832284940912).

2110111300000 is an abundant number, since it is smaller than the sum of its proper divisors (3554458581824).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2110111300000 is an equidigital number, since it uses as much as digits as its factorization.

2110111300000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1918329 (or 1918301 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 10.

Adding to 2110111300000 its reverse (31110112), we get a palindrome (2110142410112).

The spelling of 2110111300000 in words is "two trillion, one hundred ten billion, one hundred eleven million, three hundred thousand".

Divisors: 1 2 4 5 8 10 11 16 20 22 25 32 40 44 50 55 80 88 100 110 125 160 176 200 220 250 275 352 400 440 500 550 625 800 880 1000 1100 1250 1375 1760 2000 2200 2500 2750 3125 4000 4400 5000 5500 6250 6875 8800 10000 11000 12500 13750 20000 22000 25000 27500 34375 44000 50000 55000 68750 100000 110000 137500 220000 275000 550000 1100000 1918283 3836566 7673132 9591415 15346264 19182830 21101113 30692528 38365660 42202226 47957075 61385056 76731320 84404452 95914150 105505565 153462640 168808904 191828300 211011130 239785375 306925280 337617808 383656600 422022260 479570750 527527825 675235616 767313200 844044520 959141500 1055055650 1198926875 1534626400 1688089040 1918283000 2110111300 2397853750 2637639125 3376178080 3836566000 4220222600 4795707500 5275278250 5994634375 7673132000 8440445200 9591415000 10550556500 11989268750 13188195625 16880890400 19182830000 21101113000 23978537500 26376391250 38365660000 42202226000 47957075000 52752782500 65940978125 84404452000 95914150000 105505565000 131881956250 191828300000 211011130000 263763912500 422022260000 527527825000 1055055650000 2110111300000